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Finding the Fourth Proportional to 773.89, 1,161.27 and 362.88

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Solution

The fourth proportional to 773.89, 1,161.27 and 362.88 is: 544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.89 : 1,161.27 = 362.88 : x
  2. Step 2: Convert to fraction form
    773.89/1,161.27 = 362.88/x
  3. Step 3: Cross multiply
    773.89x = 1,161.27 × 362.88
  4. Step 4: Simplify right side
    773.89x = 421,401.66
  5. Step 5: Solve for x
    x = 421,401.66/773.89
  6. Step 6: Final answer
    x = 544.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.